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Finding the Fourth Proportional to 5,963.88, 8,230.14 and 3,311.28

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Solution

The fourth proportional to 5,963.88, 8,230.14 and 3,311.28 is: 4,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.88 : 8,230.14 = 3,311.28 : x
  2. Step 2: Convert to fraction form
    5,963.88/8,230.14 = 3,311.28/x
  3. Step 3: Cross multiply
    5,963.88x = 8,230.14 × 3,311.28
  4. Step 4: Simplify right side
    5,963.88x = 27,252,297.98
  5. Step 5: Solve for x
    x = 27,252,297.98/5,963.88
  6. Step 6: Final answer
    x = 4,569.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.